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Finding the Fourth Proportional to 181,889.96, 272,473.27 and 142,261.52

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Solution

The fourth proportional to 181,889.96, 272,473.27 and 142,261.52 is: 213,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,889.96 : 272,473.27 = 142,261.52 : x
  2. Step 2: Convert to fraction form
    181,889.96/272,473.27 = 142,261.52/x
  3. Step 3: Cross multiply
    181,889.96x = 272,473.27 × 142,261.52
  4. Step 4: Simplify right side
    181,889.96x = 38,762,459,831.55
  5. Step 5: Solve for x
    x = 38,762,459,831.55/181,889.96
  6. Step 6: Final answer
    x = 213,109.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.